Maffs - year 13 main

Hi! Everyone! Welcome to Year 13 Maths (or is it Maffs??? :P) World! Be inspired!

Famous Maths Quotation:

"As far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality." Albert Einstein, "Geometry and Experience", January 27, 1921 US (German-born) physicist (1879 - 1955)

Question of the Week

28th September

Q1.Express
$\dfrac{11\times\ (x-3)\times\ (x+2)}{(x-30)\times\ (x+3)}-\dfrac{9\times\ (x+2)}{(x-30)}$
as a single fraction in its simplest form.

Q2.Given that
$f(x) = 2x^2-14x+4 (x\in{R}) g(x) = x^3+3 (x>0)$
Find f(1),g(8),fg(3).

Q3.The function f is given by
$f :x\rightarrow{e^x}-3 (x\in{R})$
Find,in the form
$f^-1(x): \rightarrow$
the inverse function of f and state its domain.